SOLUTION: The base of a triangel exceeds the height by 9 inches. If the area is 180 squares inches,find the length of the base and height of the triangle
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Question 1082778: The base of a triangel exceeds the height by 9 inches. If the area is 180 squares inches,find the length of the base and height of the triangle
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
height =x
base=x+9
x(x+9)/2=180, because A=(1/2)bh
x^2+9x=360
x^2+9x-360=0
(x+24)(x-15)=0
x=-24 and 15, only 15 is sensible
height is 15 inches, base is 24 inches. Half their product is 180 in^2, the area.
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